The Self-Avoiding Walk
Birkhäuser Verlag GmbH
Published in 1993
Book
425 pages
978-3-7643-3589-2 (ISBN)
Description
The self-avoiding walk is a mathematical model with important applications in statistical mechanics and polymer science. This text provides a unified account of the rigorous results for the self-avoiding walk, focusing on its critical behaviour. Topics discussed include: the lace explosion and its application to the self-avoiding walk in more than four dimensions where most issues are now resolved; an introduction to the nonrigorous scaling theory; classical work of Hammersley and others; an exposition of Kesten's pattern theorem and its consequences; a discussion of the decay of the two-point function and its relation to probabilistic renewal theory; and the role of the self-avoiding walk in physical and chemical applications.
More details
Series
Language
English
Place of publication
Basel
Switzerland
Target group
College/higher education
Professional and scholarly
Illustrations
54 Ill.
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
929 gr
ISBN-13
978-3-7643-3589-2 (9783764335892)
Schweitzer Classification